Let \( \alpha \) and \( \beta \) two real roots of the equation \( (k+1) \tan ^{2} x \) \( -\sqrt{2} \cdot \lambda \tan …

Let \( \alpha \) and \( \beta \) two real roots of the equation \( (k+1) \tan ^{2} x \) \( -\sqrt{2} \cdot \lambda \tan x=(1-k) \), where \( k(\neq-1) \) and \( \lambda \) are real numbers. If \( \tan ^{2}(\alpha+\beta)=50 \), then a value of \( \lambda \) is

[JEE Main 2020, 7 Jan (Shift 1)]